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Finding the Fourth Proportional to 127,421.68, 175,847.92 and 70,834

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Solution

The fourth proportional to 127,421.68, 175,847.92 and 70,834 is: 97,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,421.68 : 175,847.92 = 70,834 : x
  2. Step 2: Convert to fraction form
    127,421.68/175,847.92 = 70,834/x
  3. Step 3: Cross multiply
    127,421.68x = 175,847.92 × 70,834
  4. Step 4: Simplify right side
    127,421.68x = 12,456,011,565.28
  5. Step 5: Solve for x
    x = 12,456,011,565.28/127,421.68
  6. Step 6: Final answer
    x = 97,754.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.